110856000256 has 72 divisors (see below), whose sum is σ = 225842541120. Its totient is φ = 54294180864.

The previous prime is 110856000223. The next prime is 110856000257. The reversal of 110856000256 is 652000658011.

It is a happy number.

110856000256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (110856000257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3052155 + ... + 3088261.

It is an arithmetic number, because the mean of its divisors is an integer number (3136701960).

Almost surely, 2^110856000256 is an apocalyptic number.

110856000256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

110856000256 is the 177970-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110856000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112921270560).

110856000256 is an abundant number, since it is smaller than the sum of its proper divisors (114986540864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110856000256 is an equidigital number, since it uses as much as digits as its factorization.

110856000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36369 (or 36355 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

Adding to 110856000256 its reverse (652000658011), we get a palindrome (762856658267).

The spelling of 110856000256 in words is "one hundred ten billion, eight hundred fifty-six million, two hundred fifty-six", and thus it is an aban number.